(no subject)

ok I think I'm going to start notating the inverse fourier transform as W, and its elements are

Wⱼₖ = w^(j*k)

where w = exp(2π / N), which is what people usually call W

but I figure using the upercase letter for a matrix makes more sense

(no subject)

my dad says he hitchhiked to colorado and he and his friend were in sleeping bags in the back of a pickup truck crossing the appalachians. Very cold

(no subject)

its weird to say thank you after sex, i had to break the habit

(no subject)

keeping in mind how kelly betting can implement bayes' theorem, the bailouts in the 2008 financial crisis were a decision not to update

(no subject)

OK let's say you've got an event:

X > Y

That is, one random variable is higher than another. This is equivalent to

V > c

where V is a random variable and c is a constant.

• V has the same mean as X
• c is the mean of Y
• The variance of V is the variance of X plus the variance of Y

Oh, this also requires that X and Y are independent.

ANyway... basically we're moving all the "randomness" to the left hand side, and we end up comparing a random variable to a constant cutoff, rather than two random variables to each other

There's lots of ways to do that (for example X-Y>0) but I like this one cause visually, the densitives of X and V are in the same place, and if I imagine increasing the mean of X, they both shift to the right. And I can imagine a mark on the x axis at the mean of Y

(no subject)

just like there's microeconomics and macroeconomics, I feel like there's chemistry, and then geology but I think not just geology, fields that are focused on major trends in chemical reactions rather than the details of specific reactions